An asymptotic non-linear model for thin-walled rods

被引：5

作者：

Grillet, L

Hamdouni, A

Millet, O

机构：

[1] Univ Poitiers, Lab Modelisat Mecan & Math Appl, Poitiers, France

[2] Univ La Rochelle, Lab Etude Phenomenes Transfert Appl Batiment, La Rochelle, France

[3] Univ Lille 1, CNRS, Lab Mecan Lille, F-59655 Villeneuve Dascq, France

来源：

COMPTES RENDUS MECANIQUE | 2004年 / 332卷 / 02期

关键词：

solids and structures; thin-walled rod model; non-linear elasticity; asymptotic methods;

D O I：

10.1016/j.crme.2003.10.015

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, we present a non-linear one-dimensional model for thin-walled rods with open strongly curved cross-section, obtained by asymptotic methods. A dimensional analysis of the non-linear three-dimensional equilibrium equations lets appear dimensionless numbers which reflect the geometry of the structure and the level of applied forces. For a given force level, the order of magnitude of the displacements and the corresponding one-dimensional model are deduced by asymptotic expansions. (C) 2003 Academie des sciences. Published by Elsevier SAS. All rights reserved.

引用

页码：123 / 128

页数：6

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